Some definitions: pi, also written $\pi$ is defined as the ratio of the circumference to the diameter in a circle e, is the natural logarithm constant. Defined as $f(1)$ where $f$ is the unique differentiable function $f:\R\to\R$ satisfying $f(0) = 1$ and $f'(x) =x$ for all $x\in \R$. The golden ratio is defined as $(1+\sqrt{5})/2$

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